Tính giá trị của biểu thức (P = frac{{{{left( {4 + 2sqrt 3 } right)}^{2018}}.{{left( {1 – sqrt 3 } right)}^{2017}}}}{{{{left( {1 + sqrt 3 } right)}^{2019}}}}).

Ta có: (P = frac{{{{left( {4 + 2sqrt 3 } right)}^{2018}}.{{left( {1 – sqrt 3 } right)}^{2017}}}}{{{{left( {1 + sqrt 3 } right)}^{2019}}}} = frac{{{{left( {{{left( {sqrt 3  + 1} right)}^2}} right)}^{2018}}.{{left( {1 – sqrt 3 } right)}^{2017}}}}{{{{left( {1 + sqrt 3 } right)}^{2019}}}} = frac{{{{left( {sqrt 3  + 1} right)}^{4036}}.{{left( {1 – sqrt 3 } right)}^{2017}}}}{{{{left( {1 + sqrt 3 } right)}^{2019}}}})

( = {left( {sqrt 3  + 1} right)^{2017}}.{left( {1 – sqrt 3 } right)^{2017}} = {left[ {left( {sqrt 3  + 1} right)left( {1 – sqrt 3 } right)} right]^{2017}} = {left( { – 2} right)^{2017}} =  – {2^{2017}})

Chọn: A